Maths Exam

1. Simplify 1

Simplify the following expression: $$ \left(3 + -5\right)\left(5 + 3\right) + {\left(-1 - 2\right)}^{2} $$
Correct Answer
$$ -7$$ or -7.00000

2. Simplify 2

Simplify the following expression: $$ \frac{2\times1(-4)}{\left(-5 - 2\right)\left(1 + 2\right)} $$
Correct Answer
$$ \frac{8}{21}$$ or 0.380952

3. Fractions 1

Simplify the following expression: $$ \frac{5}{6} + \frac{-1}{4} $$
Correct Answer
$$ \frac{7}{12}$$ or 0.5833333333333334

4. Fractions 2

Simplify the following expression: $$ \frac{6}{2}\frac{3}{4} $$
Correct Answer
$$ \frac{9}{4}$$ or 2.25

5. Significant figures

1. Write the following to 3 significant figures: 120.00589
Correct Answer
120 or $$1.20\times10^{2}$$
2. Write the following to 5 significant figures: 0.00068951681
Correct Answer
0.00068952 or $$6.8952\times10^{-4}$$

6. Standard Form

1. Write the following in standard form to 3 significant digits: 0.000330340
Correct Answer
$$3.30\times10^{-4}$$
2. Write the following in standard form to 5 significant digits: 87689.6
Correct Answer
$$8.7690\times10^{4}$$

7. Significant figures

1. Write the following in preferred standard form to 4 significant digits: 0.00000096898
Correct Answer
$$969.0\times10^{-9}$$
2. Write the following in preferred standard form to 4 significant digits: 0.018124
Correct Answer
$$18.12\times10^{-3}$$

8. Simplify 2

Simplify the following expression: $$ 2\times5\times5\left(\frac{-3}{-3} + 3 - 5\right) $$
Correct Answer
$$ -50$$ or -50.0000

9. Simplify 1

Simplify the following expression: $$ \left(-3 + -6\right)\left(2 + 3\right) + {\left(-1 + -4\right)}^{2} $$
Correct Answer
$$ -20$$ or -20.0000

10. Simplify 2

Simplify the following expression: $$ \frac{2\times2\times6}{3 - -5 + 4 - 2} $$
Correct Answer
$$ \frac{12}{5}$$ or 2.40000


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